A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.

Is this a valid conclusion?

Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.

Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.

No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.

Answer:

Step-by-step explanation:

1). Let the equation of a line is,

   y = mx + b

   Here, m = slope of the line

   b = y-intercept

   From the graph attached,

   Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{1}{4}[/tex]

   y-intercept = -2

   Equation → y = [tex]\frac{1}{4}x-2[/tex]

2). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}[/tex]

   y-intercept 'b' = -3

   Equation → y = [tex]\frac{3}{4}x-4[/tex]

3). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}[/tex]

                                 = [tex]-\frac{20}{3}[/tex]

    y-intercept = 5

    Equation → y = [tex]-\frac{20}{3}+5[/tex]

4). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}[/tex]

    y-intercept = 4

    Equation → y = [tex]-\frac{1}{2}x+4[/tex]

5). Since, line is passing through origin (0, 0)

    y-intercept = 0

    Slope = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}[/tex]

    Equation → y = x

6). Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}[/tex]

    y-intercept = -4

    Equation → y = [tex]\frac{1}{4}x-4[/tex]

Answer:

0.625

62.5%

Step-by-step explanation:

5/8 is 0.625 as a decimal and

0.625*100 is 62.5 as a percent

Answer:

this is the answer

Step-by-step explanation:

[tex]12(2(16) - 4) =336 [/tex]

336

Step-by-step explanation:

12(2×16-4) =12(32-4)=12×28=336

Answer:

After 25 days will be present about 13.70 ≅ 13 bacteria

Step-by-step explanation:

The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where

∵ A certain bacteria multiply exponentially at a rate of 8% per day

→ Assume that y is the number of bacteria, x is the number of days

∴ r = 8% = [tex]\frac{8}{100}[/tex] = 0.08

∵ 2 bacteria exist initially

∴ a = 2

→ Substitute them in the form of the equation above

∵ y = 2 [tex](1+0.08)^{x}[/tex]

∴ y = 2 [tex](1.08)^{x}[/tex]

∵ x = 25

→ Substitute x in the equation by 25

∴ y = 2 [tex](1.08)^{25}[/tex]

∴ y = 13.69695

∴ After 25 days will be present about 13.70 bacteria

Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]

the, the area of the left triangle is

[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]

the area of the right triangle is

[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]

and the area of the rectangle in the middle is

[tex]A_3=(13)(12)\\A_3=156[/tex]

Por tanto, el area total sera

[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Answer:

u want recommendations?

Step-by-step explanation:

Answer:

Watermelon Sugar

Answer:

10ibs=1000%   6ibs=600%

Step-by-step explanation:

Answer:

a

 [tex]z = - 2.12[/tex]

b

 [tex]p- value = 0.017003[/tex]

c

There is sufficient evidence to show that the population mean is less than 20

d

 [tex]z_{0.05} =- 1.645[/tex]

e

   The decision rule is  

Reject the null hypothesis

f

The conclusion is  

  There is sufficient evidence to show that the population mean is less than 20.

Step-by-step explanation:

From the question we are told that

   The null hypothesis  is  [tex]H_o: \mu = 20[/tex]

    The alternative hypothesis is  Ha: µ < 20

    The sample size is  n  =  50  

    The sample mean is  [tex]\= x = 19.4[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

      The population standard deviation is  [tex]\sigma = 2[/tex]

Generally the test statistics is mathematically represented as

       [tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>    [tex]z = \frac{19.4 - 20 }{ \frac{2}{ \sqrt{50 } } }[/tex]

=>    [tex]z = - 2.12[/tex]

From the z table  the area under the normal curve to the left corresponding to  -2.12  is  

       [tex](P< -2.12) = 0.017003[/tex]

Generally the p-value is  

        [tex]p- value = 0.017003[/tex]

From values obtained we see that [tex]p-value < \alpha[/tex] hence  

   The decision rule is  

Reject the null hypothesis

   The conclusion is  

  There is sufficient evidence to show that the population mean is less than 20.

Generally form the normal distribution table the critical value at a level of significance of  [tex]\alpha = 0.05[/tex] is

        [tex]z_{0.05} =- 1.645[/tex]

Generally given that  [tex]z < z_{0.05}[/tex]

   The decision rule is  

Reject the null hypothesis

   The conclusion is  

  There is sufficient evidence to show that the population mean is less than 20.

Answer: the first statement is a ratio or fractions that are equale

Answer: 30 students in total

Step-by-step explanation: 2x+ 3x is 5x right. The 18 girls are the 3x. That means the 6 people is 1x. If there are 5 x people in total that means that there are 30 students

Answer:

The function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

Let us simplify this function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

        [tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex]     ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]

Cancel the common factor (x+1)

        [tex]=\frac{1}{x\left(x-1\right)}[/tex]

Therefore, the function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Answer:

wrong

Step-by-step explanation:

Answer:

Neither of the students are correct.

Step-by-step explanation:

Sarah:

P = 3x + x +7 + 3x + x +7 ..... this first step is correct

    = 6x + 14 .... this step is incorrect, Sarah forgot to add the other 2 xs

John:

P = 2(x + 7) + 2(3x)

  =  2x + 7 + 6x .... this step is incorrect, John forgot to distribute the 2 to the 7

  =  8x + 7 .... incorrect because of the previous step

The answer should've been 8x + 14.

Answer:

WE{OFGiuhu argoih

Step-by-step explanation:

Answer:-3

Step-by-step explanation:

y2-y1/x2-x1=m

-3-3/6-4=-6/2=-3

Answer and step-by-step explanation:

We just have to apply one function in the other one. See:

→ f(g(x)):

[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]

→ g(f(x)):

[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]

What verifies that f and g are inverses of each other.

Q.E.D.

Answer:

the first one is 101 degrees

the second one is 106 degrees

the third one is 106 degrees

Step-by-step explanation:

Answer:

1. x = 101, x is an opposite interior angle

2. x = 106, x is an opposite interior angle

3. x = 106, x is a same-side interior angle

Answer:

Yes it is!

Step-by-step explanation:

Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Step-by-step explanation:

hope its right

Now lets assume you use a stronger password with a mix of lowercase and uppercase characters, such as "blUeFisH", then the character set is 52. In this case, there are 52^8 possible combinations of 8 character passwords. So, to break an 8 character password, it will take (1.7*10^-6 * 52^8) seconds / 2, or 1.44 years.

Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

Answer:

Step-by-step explanation:

y = mx + b

mx = slope

b = intercept

1. Simplify the equation

4y = -3x - 12

2. Divide both sides by 4

y = -3/4 x - 3

3. Make a graph

First start at the y-intercept, (0, -3)*

Then, use the pattern -3/4

It is called rise over run.

But, when the slope is negative you have to go down instead of up. So you have to go down 3 and 4 to the right.

Continue that pattern until you get your result.

But when you have to go to the upper part of the graph go up 3 and over 4 to the left.

Continue this pattern.

This also applies to other graphs.

* = remember a y-intercept always has a 0 as the x - coordinate.

Hope this helped,

Kavitha